A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed: 70 percent reported that they attend...

A recent survey asked a sample of 50 persons “How often do you attend religious services?” Of those sampled, 30 were women and 20 were men. Of the women surveyed:

70 percent reported that they attend religious services regularly
30 percent reported that they do not attend religious services regularly

Of the men surveyed:

20 percent said they attend religious services regularly
80 percent reported that they do not attend religious services regularly

(a) Use the information above to complete the following contingency table:

(b) Using your answer to part (a), calculate the probability that a randomly selected respondent who attends religious services regularly is a male.

(c) Are the events ‘attend religious services regularly’ and ‘respondent is male’ independent?

Give reasons for your answer.

(d) Are the events ‘attend religious services regularly’ and ‘respondent is male’ mutually

exclusive? Give reasons for your answer.